print "A homomorph of the Fibonnacci group F(2, 9).";
print "Order 579833984375000 = 2^3 * 5^18 * 19.";
print "Field: K; Group: G";

K := GF(5);
G := MatrixGroup<19, K |
    \[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     1, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
     1, 3, 1, 3, 3, 3, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 1, 3,
     3, 3, 2, 1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 4, 2, 2, 2,
     3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 4, 2, 2, 2, 3, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 1 ],
    \[ 0, 2, 2, 1, 2, 1, 1, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 4, 1,
     3, 4, 3, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 4, 1, 2, 0, 4,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 4, 0, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 4, 0, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 4, 2, 4,
     1, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 1, 0, 0, 2, 4, 2, 3, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 3, 4, 4, 4, 1, 0, 2, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 4, 3, 4, 4, 4, 1, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 4, 0, 3, 0, 1, 4, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,
     3, 4, 3, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 3, 4, 3, 4,
     2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 3, 4, 3, 4, 2, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 3, 1, 4, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 4, 1, 4, 0, 0, 3, 1, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2,
     1, 1, 1, 4, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 1 ]
>;
